Compare and Order Decimals: Greater Than Problems

Q: How do I compare decimals with different numbers of digits after the decimal point?

Add zeros to make them the same length! For example: 0.2 becomes 0.20. Now compare: 0.20 vs 0.25. Since 20

Q: Is the fraction method always necessary?

No! The fraction method is just one way to compare. You can also line up place values or add zeros to make comparison easier. Use whatever method makes the most sense to you!

Q: What if I'm comparing three or more decimals?

Make all decimals the same length by adding zerosCompare from left to right starting with tenths placeOrder them from smallest to largest or vice versa

Q: How can I remember which decimal is larger?

Think of money! 0.25 is 25 cents and 0.2 is 20 cents (0.20). Since 25¢ > 20¢, we know 0.25 > 0.2. This real-world connection helps a lot!

Decimal Comparison with Different Place Values

Which number is greater?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Which number is bigger?

00:03 Let's compare the digits between the numbers

00:16 The digit 5 is bigger than 0, therefore this number is bigger:

00:20 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Which number is greater?

Step-by-step solution

Let's first convert the decimal numbers into simple fractions and compare them:

0.2 is divided by 10 because there is only one digit after the decimal point, therefore:

$0.2=\frac{2}{10}$

0.25 is divided by 100 because there are two digits after the decimal point, therefore:

$0.25=\frac{25}{100}$

Let's now compare the numbers in the denominators:

$\frac{25}{100}>\frac{2}{10}$

Therefore, the greater number is 0.25.

Final Answer

$0.25$

Key Points to Remember

Essential concepts to master this topic

Rule: Compare decimals by aligning place values or converting to fractions
Technique: Convert 0.2 to 0.20 to match 0.25's place values
Check: Verify by converting to fractions: $\frac{25}{100} > \frac{20}{100}$ ✓

Common Mistakes

Avoid these frequent errors

Comparing decimals by number of digits only
Don't think 0.2 > 0.25 just because 2 > 25 = wrong comparison! You're comparing different place values (tenths vs hundredths). Always align decimal places first or convert to equivalent forms like 0.20 vs 0.25.

Practice Quiz

Test your knowledge with interactive questions

Are they the same numbers?

$0.23\stackrel{?}{=}0.32$

FAQ

Everything you need to know about this question

Why is 0.25 greater than 0.2 when 25 is bigger than 2?

Great question! The digits 25 and 2 are in different place values. 0.25 means 25 hundredths, while 0.2 means 2 tenths. Convert to the same place: 0.2 = 0.20 (20 hundredths), and 25 hundredths > 20 hundredths!

How do I compare decimals with different numbers of digits after the decimal point?

Add zeros to make them the same length! For example: 0.2 becomes 0.20. Now compare: 0.20 vs 0.25. Since 20 < 25, we know 0.20 < 0.25.

Is the fraction method always necessary?

No! The fraction method is just one way to compare. You can also line up place values or add zeros to make comparison easier. Use whatever method makes the most sense to you!

What if I'm comparing three or more decimals?

Make all decimals the same length by adding zeros
Compare from left to right starting with tenths place
Order them from smallest to largest or vice versa

How can I remember which decimal is larger?

Think of money! 0.25 is 25 cents and 0.2 is 20 cents (0.20). Since 25¢ > 20¢, we know 0.25 > 0.2. This real-world connection helps a lot!

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